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Finding the Third Proportional to 85,672,838.06 and 130,518,016.88

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Solution

The third proportional to 85,672,838.06 and 130,518,016.88 is: 198,837,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,672,838.06 : 130,518,016.88 = 130,518,016.88 : x
  2. Step 2: Convert to fraction form
    85,672,838.06/130,518,016.88 = 130,518,016.88/x
  3. Step 3: Cross multiply
    85,672,838.06x = 130,518,016.88 × 130,518,016.88
  4. Step 4: Simplify right side
    85,672,838.06x = 17,034,952,728,982,784
  5. Step 5: Solve for x
    x = 17,034,952,728,982,784/85,672,838.06
  6. Step 6: Final answer
    x = 198,837,264.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.