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Finding the Third Proportional to 160,307,387.50 and 350,129,428.50

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Solution

The third proportional to 160,307,387.50 and 350,129,428.50 is: 764,722,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,307,387.50 : 350,129,428.50 = 350,129,428.50 : x
  2. Step 2: Convert to fraction form
    160,307,387.50/350,129,428.50 = 350,129,428.50/x
  3. Step 3: Cross multiply
    160,307,387.50x = 350,129,428.50 × 350,129,428.50
  4. Step 4: Simplify right side
    160,307,387.50x = 122,590,616,701,736,608
  5. Step 5: Solve for x
    x = 122,590,616,701,736,608/160,307,387.50
  6. Step 6: Final answer
    x = 764,722,191.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.