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Finding the Third Proportional to 106,752,681 and 233,080,306.50

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Solution

The third proportional to 106,752,681 and 233,080,306.50 is: 508,899,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,752,681 : 233,080,306.50 = 233,080,306.50 : x
  2. Step 2: Convert to fraction form
    106,752,681/233,080,306.50 = 233,080,306.50/x
  3. Step 3: Cross multiply
    106,752,681x = 233,080,306.50 × 233,080,306.50
  4. Step 4: Simplify right side
    106,752,681x = 54,326,429,278,133,944
  5. Step 5: Solve for x
    x = 54,326,429,278,133,944/106,752,681
  6. Step 6: Final answer
    x = 508,899,905.55

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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.