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Finding the Third Proportional to 39,135,332.25 and 83,006,248.50

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Solution

The third proportional to 39,135,332.25 and 83,006,248.50 is: 176,056,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,135,332.25 : 83,006,248.50 = 83,006,248.50 : x
  2. Step 2: Convert to fraction form
    39,135,332.25/83,006,248.50 = 83,006,248.50/x
  3. Step 3: Cross multiply
    39,135,332.25x = 83,006,248.50 × 83,006,248.50
  4. Step 4: Simplify right side
    39,135,332.25x = 6,890,037,290,043,752
  5. Step 5: Solve for x
    x = 6,890,037,290,043,752/39,135,332.25
  6. Step 6: Final answer
    x = 176,056,695.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.