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Finding the Third Proportional to 242,908,398.56 and 524,523,129.19

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Solution

The third proportional to 242,908,398.56 and 524,523,129.19 is: 1,132,626,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,908,398.56 : 524,523,129.19 = 524,523,129.19 : x
  2. Step 2: Convert to fraction form
    242,908,398.56/524,523,129.19 = 524,523,129.19/x
  3. Step 3: Cross multiply
    242,908,398.56x = 524,523,129.19 × 524,523,129.19
  4. Step 4: Simplify right side
    242,908,398.56x = 275,124,513,052,646,816
  5. Step 5: Solve for x
    x = 275,124,513,052,646,816/242,908,398.56
  6. Step 6: Final answer
    x = 1,132,626,597.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.