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Finding the Third Proportional to 151,851,265.50 and 226,781,829.50

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Solution

The third proportional to 151,851,265.50 and 226,781,829.50 is: 338,686,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,851,265.50 : 226,781,829.50 = 226,781,829.50 : x
  2. Step 2: Convert to fraction form
    151,851,265.50/226,781,829.50 = 226,781,829.50/x
  3. Step 3: Cross multiply
    151,851,265.50x = 226,781,829.50 × 226,781,829.50
  4. Step 4: Simplify right side
    151,851,265.50x = 51,429,998,191,367,072
  5. Step 5: Solve for x
    x = 51,429,998,191,367,072/151,851,265.50
  6. Step 6: Final answer
    x = 338,686,661.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.