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Finding the Third Proportional to 39,719,829.38 and 85,709,917.13

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Solution

The third proportional to 39,719,829.38 and 85,709,917.13 is: 184,950,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719,829.38 : 85,709,917.13 = 85,709,917.13 : x
  2. Step 2: Convert to fraction form
    39,719,829.38/85,709,917.13 = 85,709,917.13/x
  3. Step 3: Cross multiply
    39,719,829.38x = 85,709,917.13 × 85,709,917.13
  4. Step 4: Simplify right side
    39,719,829.38x = 7,346,189,893,574,368
  5. Step 5: Solve for x
    x = 7,346,189,893,574,368/39,719,829.38
  6. Step 6: Final answer
    x = 184,950,187.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.