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Finding the Third Proportional to 148,050,960 and 320,812,080

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Solution

The third proportional to 148,050,960 and 320,812,080 is: 695,168,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,050,960 : 320,812,080 = 320,812,080 : x
  2. Step 2: Convert to fraction form
    148,050,960/320,812,080 = 320,812,080/x
  3. Step 3: Cross multiply
    148,050,960x = 320,812,080 × 320,812,080
  4. Step 4: Simplify right side
    148,050,960x = 102,920,390,673,926,400
  5. Step 5: Solve for x
    x = 102,920,390,673,926,400/148,050,960
  6. Step 6: Final answer
    x = 695,168,681.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.