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Finding the Third Proportional to 86,739,427.13 and 189,300,985.88

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Solution

The third proportional to 86,739,427.13 and 189,300,985.88 is: 413,132,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,739,427.13 : 189,300,985.88 = 189,300,985.88 : x
  2. Step 2: Convert to fraction form
    86,739,427.13/189,300,985.88 = 189,300,985.88/x
  3. Step 3: Cross multiply
    86,739,427.13x = 189,300,985.88 × 189,300,985.88
  4. Step 4: Simplify right side
    86,739,427.13x = 35,834,863,253,246,948
  5. Step 5: Solve for x
    x = 35,834,863,253,246,948/86,739,427.13
  6. Step 6: Final answer
    x = 413,132,348.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.