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Finding the Third Proportional to 69,894,342.84 and 109,404,689.91

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Solution

The third proportional to 69,894,342.84 and 109,404,689.91 is: 171,249,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,894,342.84 : 109,404,689.91 = 109,404,689.91 : x
  2. Step 2: Convert to fraction form
    69,894,342.84/109,404,689.91 = 109,404,689.91/x
  3. Step 3: Cross multiply
    69,894,342.84x = 109,404,689.91 × 109,404,689.91
  4. Step 4: Simplify right side
    69,894,342.84x = 11,969,386,173,482,720
  5. Step 5: Solve for x
    x = 11,969,386,173,482,720/69,894,342.84
  6. Step 6: Final answer
    x = 171,249,713.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.