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Finding the Third Proportional to 125,345,145 and 274,904,061

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Solution

The third proportional to 125,345,145 and 274,904,061 is: 602,913,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,345,145 : 274,904,061 = 274,904,061 : x
  2. Step 2: Convert to fraction form
    125,345,145/274,904,061 = 274,904,061/x
  3. Step 3: Cross multiply
    125,345,145x = 274,904,061 × 274,904,061
  4. Step 4: Simplify right side
    125,345,145x = 75,572,242,754,291,728
  5. Step 5: Solve for x
    x = 75,572,242,754,291,728/125,345,145
  6. Step 6: Final answer
    x = 602,913,202.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.