Home / 206,821,046.25-320,676,681.38

Finding the Third Proportional to 206,821,046.25 and 320,676,681.38

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Solution

The third proportional to 206,821,046.25 and 320,676,681.38 is: 497,210,201.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,821,046.25 : 320,676,681.38 = 320,676,681.38 : x
  2. Step 2: Convert to fraction form
    206,821,046.25/320,676,681.38 = 320,676,681.38/x
  3. Step 3: Cross multiply
    206,821,046.25x = 320,676,681.38 × 320,676,681.38
  4. Step 4: Simplify right side
    206,821,046.25x = 102,833,533,977,683,264
  5. Step 5: Solve for x
    x = 102,833,533,977,683,264/206,821,046.25
  6. Step 6: Final answer
    x = 497,210,201.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.