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Finding the Third Proportional to 159,500,836.13 and 238,985,169.19

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Solution

The third proportional to 159,500,836.13 and 238,985,169.19 is: 358,079,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,500,836.13 : 238,985,169.19 = 238,985,169.19 : x
  2. Step 2: Convert to fraction form
    159,500,836.13/238,985,169.19 = 238,985,169.19/x
  3. Step 3: Cross multiply
    159,500,836.13x = 238,985,169.19 × 238,985,169.19
  4. Step 4: Simplify right side
    159,500,836.13x = 57,113,911,091,578,000
  5. Step 5: Solve for x
    x = 57,113,911,091,578,000/159,500,836.13
  6. Step 6: Final answer
    x = 358,079,070.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.