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Finding the Third Proportional to 61,785,382.50 and 133,139,214

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Solution

The third proportional to 61,785,382.50 and 133,139,214 is: 286,897,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,785,382.50 : 133,139,214 = 133,139,214 : x
  2. Step 2: Convert to fraction form
    61,785,382.50/133,139,214 = 133,139,214/x
  3. Step 3: Cross multiply
    61,785,382.50x = 133,139,214 × 133,139,214
  4. Step 4: Simplify right side
    61,785,382.50x = 17,726,050,304,537,796
  5. Step 5: Solve for x
    x = 17,726,050,304,537,796/61,785,382.50
  6. Step 6: Final answer
    x = 286,897,152.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.