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Finding the Third Proportional to 242,092,698.75 and 501,411,439.69

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Solution

The third proportional to 242,092,698.75 and 501,411,439.69 is: 1,038,500,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,092,698.75 : 501,411,439.69 = 501,411,439.69 : x
  2. Step 2: Convert to fraction form
    242,092,698.75/501,411,439.69 = 501,411,439.69/x
  3. Step 3: Cross multiply
    242,092,698.75x = 501,411,439.69 × 501,411,439.69
  4. Step 4: Simplify right side
    242,092,698.75x = 251,413,431,849,491,456
  5. Step 5: Solve for x
    x = 251,413,431,849,491,456/242,092,698.75
  6. Step 6: Final answer
    x = 1,038,500,678.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.