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Finding the Third Proportional to 122,586,409.50 and 182,816,570.25

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Solution

The third proportional to 122,586,409.50 and 182,816,570.25 is: 272,639,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,586,409.50 : 182,816,570.25 = 182,816,570.25 : x
  2. Step 2: Convert to fraction form
    122,586,409.50/182,816,570.25 = 182,816,570.25/x
  3. Step 3: Cross multiply
    122,586,409.50x = 182,816,570.25 × 182,816,570.25
  4. Step 4: Simplify right side
    122,586,409.50x = 33,421,898,357,973,184
  5. Step 5: Solve for x
    x = 33,421,898,357,973,184/122,586,409.50
  6. Step 6: Final answer
    x = 272,639,507.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.