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Finding the Third Proportional to 125,345,142 and 274,904,055

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Solution

The third proportional to 125,345,142 and 274,904,055 is: 602,913,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,345,142 : 274,904,055 = 274,904,055 : x
  2. Step 2: Convert to fraction form
    125,345,142/274,904,055 = 274,904,055/x
  3. Step 3: Cross multiply
    125,345,142x = 274,904,055 × 274,904,055
  4. Step 4: Simplify right side
    125,345,142x = 75,572,239,455,443,024
  5. Step 5: Solve for x
    x = 75,572,239,455,443,024/125,345,142
  6. Step 6: Final answer
    x = 602,913,190.33

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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.