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Finding the Third Proportional to 52,962,903 and 114,041,398.50

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Solution

The third proportional to 52,962,903 and 114,041,398.50 is: 245,557,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,962,903 : 114,041,398.50 = 114,041,398.50 : x
  2. Step 2: Convert to fraction form
    52,962,903/114,041,398.50 = 114,041,398.50/x
  3. Step 3: Cross multiply
    52,962,903x = 114,041,398.50 × 114,041,398.50
  4. Step 4: Simplify right side
    52,962,903x = 13,005,440,571,835,802
  5. Step 5: Solve for x
    x = 13,005,440,571,835,802/52,962,903
  6. Step 6: Final answer
    x = 245,557,547.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.