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Finding the Third Proportional to 156,417,761 and 229,838,130

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Solution

The third proportional to 156,417,761 and 229,838,130 is: 337,721,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,417,761 : 229,838,130 = 229,838,130 : x
  2. Step 2: Convert to fraction form
    156,417,761/229,838,130 = 229,838,130/x
  3. Step 3: Cross multiply
    156,417,761x = 229,838,130 × 229,838,130
  4. Step 4: Simplify right side
    156,417,761x = 52,825,566,001,896,896
  5. Step 5: Solve for x
    x = 52,825,566,001,896,896/156,417,761
  6. Step 6: Final answer
    x = 337,721,021.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.