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Finding the Third Proportional to 84,602,809.25 and 114,149,053.75

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Solution

The third proportional to 84,602,809.25 and 114,149,053.75 is: 154,013,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,602,809.25 : 114,149,053.75 = 114,149,053.75 : x
  2. Step 2: Convert to fraction form
    84,602,809.25/114,149,053.75 = 114,149,053.75/x
  3. Step 3: Cross multiply
    84,602,809.25x = 114,149,053.75 × 114,149,053.75
  4. Step 4: Simplify right side
    84,602,809.25x = 13,030,006,472,020,390
  5. Step 5: Solve for x
    x = 13,030,006,472,020,390/84,602,809.25
  6. Step 6: Final answer
    x = 154,013,874.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.