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Finding the Third Proportional to 91,351,815.47 and 215,581,011.47

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Solution

The third proportional to 91,351,815.47 and 215,581,011.47 is: 508,749,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,351,815.47 : 215,581,011.47 = 215,581,011.47 : x
  2. Step 2: Convert to fraction form
    91,351,815.47/215,581,011.47 = 215,581,011.47/x
  3. Step 3: Cross multiply
    91,351,815.47x = 215,581,011.47 × 215,581,011.47
  4. Step 4: Simplify right side
    91,351,815.47x = 46,475,172,505,889,320
  5. Step 5: Solve for x
    x = 46,475,172,505,889,320/91,351,815.47
  6. Step 6: Final answer
    x = 508,749,303.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.