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Finding the Third Proportional to 181,700,500,774.50 and 397,596,041,248.50

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Solution

The third proportional to 181,700,500,774.50 and 397,596,041,248.50 is: 870,017,481,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,700,500,774.50 : 397,596,041,248.50 = 397,596,041,248.50 : x
  2. Step 2: Convert to fraction form
    181,700,500,774.50/397,596,041,248.50 = 397,596,041,248.50/x
  3. Step 3: Cross multiply
    181,700,500,774.50x = 397,596,041,248.50 × 397,596,041,248.50
  4. Step 4: Simplify right side
    181,700,500,774.50x = 158,082,612,016,478,928,502,784
  5. Step 5: Solve for x
    x = 158,082,612,016,478,928,502,784/181,700,500,774.50
  6. Step 6: Final answer
    x = 870,017,481,199.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.