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Finding the Third Proportional to 83,499,676.88 and 172,727,106.75

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Solution

The third proportional to 83,499,676.88 and 172,727,106.75 is: 357,302,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,499,676.88 : 172,727,106.75 = 172,727,106.75 : x
  2. Step 2: Convert to fraction form
    83,499,676.88/172,727,106.75 = 172,727,106.75/x
  3. Step 3: Cross multiply
    83,499,676.88x = 172,727,106.75 × 172,727,106.75
  4. Step 4: Simplify right side
    83,499,676.88x = 29,834,653,406,225,896
  5. Step 5: Solve for x
    x = 29,834,653,406,225,896/83,499,676.88
  6. Step 6: Final answer
    x = 357,302,621.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.