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Finding the Third Proportional to 141,013,287.28 and 309,267,079.59

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Solution

The third proportional to 141,013,287.28 and 309,267,079.59 is: 678,277,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,013,287.28 : 309,267,079.59 = 309,267,079.59 : x
  2. Step 2: Convert to fraction form
    141,013,287.28/309,267,079.59 = 309,267,079.59/x
  3. Step 3: Cross multiply
    141,013,287.28x = 309,267,079.59 × 309,267,079.59
  4. Step 4: Simplify right side
    141,013,287.28x = 95,646,126,520,446,896
  5. Step 5: Solve for x
    x = 95,646,126,520,446,896/141,013,287.28
  6. Step 6: Final answer
    x = 678,277,404.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.