Home / 108,070,381.31-232,553,923.13

Finding the Third Proportional to 108,070,381.31 and 232,553,923.13

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Solution

The third proportional to 108,070,381.31 and 232,553,923.13 is: 500,426,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,070,381.31 : 232,553,923.13 = 232,553,923.13 : x
  2. Step 2: Convert to fraction form
    108,070,381.31/232,553,923.13 = 232,553,923.13/x
  3. Step 3: Cross multiply
    108,070,381.31x = 232,553,923.13 × 232,553,923.13
  4. Step 4: Simplify right side
    108,070,381.31x = 54,081,327,160,828,408
  5. Step 5: Solve for x
    x = 54,081,327,160,828,408/108,070,381.31
  6. Step 6: Final answer
    x = 500,426,911.65

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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.