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Finding the Third Proportional to 143,691,000.75 and 314,585,122.50

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Solution

The third proportional to 143,691,000.75 and 314,585,122.50 is: 688,726,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,691,000.75 : 314,585,122.50 = 314,585,122.50 : x
  2. Step 2: Convert to fraction form
    143,691,000.75/314,585,122.50 = 314,585,122.50/x
  3. Step 3: Cross multiply
    143,691,000.75x = 314,585,122.50 × 314,585,122.50
  4. Step 4: Simplify right side
    143,691,000.75x = 98,963,799,298,340,000
  5. Step 5: Solve for x
    x = 98,963,799,298,340,000/143,691,000.75
  6. Step 6: Final answer
    x = 688,726,494.92

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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.