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Finding the Third Proportional to 41,943,259.13 and 89,715,784.50

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Solution

The third proportional to 41,943,259.13 and 89,715,784.50 is: 191,900,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,943,259.13 : 89,715,784.50 = 89,715,784.50 : x
  2. Step 2: Convert to fraction form
    41,943,259.13/89,715,784.50 = 89,715,784.50/x
  3. Step 3: Cross multiply
    41,943,259.13x = 89,715,784.50 × 89,715,784.50
  4. Step 4: Simplify right side
    41,943,259.13x = 8,048,921,988,450,440
  5. Step 5: Solve for x
    x = 8,048,921,988,450,440/41,943,259.13
  6. Step 6: Final answer
    x = 191,900,251.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.