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Finding the Third Proportional to 49,387,190.91 and 106,359,854.63

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Solution

The third proportional to 49,387,190.91 and 106,359,854.63 is: 229,055,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,387,190.91 : 106,359,854.63 = 106,359,854.63 : x
  2. Step 2: Convert to fraction form
    49,387,190.91/106,359,854.63 = 106,359,854.63/x
  3. Step 3: Cross multiply
    49,387,190.91x = 106,359,854.63 × 106,359,854.63
  4. Step 4: Simplify right side
    49,387,190.91x = 11,312,418,675,851,134
  5. Step 5: Solve for x
    x = 11,312,418,675,851,134/49,387,190.91
  6. Step 6: Final answer
    x = 229,055,722.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.