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Finding the Third Proportional to 39,698,509.50 and 86,459,986.50

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Solution

The third proportional to 39,698,509.50 and 86,459,986.50 is: 188,302,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,698,509.50 : 86,459,986.50 = 86,459,986.50 : x
  2. Step 2: Convert to fraction form
    39,698,509.50/86,459,986.50 = 86,459,986.50/x
  3. Step 3: Cross multiply
    39,698,509.50x = 86,459,986.50 × 86,459,986.50
  4. Step 4: Simplify right side
    39,698,509.50x = 7,475,329,265,580,182
  5. Step 5: Solve for x
    x = 7,475,329,265,580,182/39,698,509.50
  6. Step 6: Final answer
    x = 188,302,517.14

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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.