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Finding the Third Proportional to 39,357,987.75 and 85,638,200.06

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Solution

The third proportional to 39,357,987.75 and 85,638,200.06 is: 186,338,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,357,987.75 : 85,638,200.06 = 85,638,200.06 : x
  2. Step 2: Convert to fraction form
    39,357,987.75/85,638,200.06 = 85,638,200.06/x
  3. Step 3: Cross multiply
    39,357,987.75x = 85,638,200.06 × 85,638,200.06
  4. Step 4: Simplify right side
    39,357,987.75x = 7,333,901,309,944,775
  5. Step 5: Solve for x
    x = 7,333,901,309,944,775/39,357,987.75
  6. Step 6: Final answer
    x = 186,338,319.85

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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.