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Finding the Third Proportional to 242,908,092 and 524,522,479.50

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Solution

The third proportional to 242,908,092 and 524,522,479.50 is: 1,132,625,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,908,092 : 524,522,479.50 = 524,522,479.50 : x
  2. Step 2: Convert to fraction form
    242,908,092/524,522,479.50 = 524,522,479.50/x
  3. Step 3: Cross multiply
    242,908,092x = 524,522,479.50 × 524,522,479.50
  4. Step 4: Simplify right side
    242,908,092x = 275,123,831,500,827,936
  5. Step 5: Solve for x
    x = 275,123,831,500,827,936/242,908,092
  6. Step 6: Final answer
    x = 1,132,625,221.48

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Why These Related Problems?

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