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Finding the Third Proportional to 147,656,592 and 318,031,728

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Solution

The third proportional to 147,656,592 and 318,031,728 is: 684,996,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,656,592 : 318,031,728 = 318,031,728 : x
  2. Step 2: Convert to fraction form
    147,656,592/318,031,728 = 318,031,728/x
  3. Step 3: Cross multiply
    147,656,592x = 318,031,728 × 318,031,728
  4. Step 4: Simplify right side
    147,656,592x = 101,144,180,014,665,984
  5. Step 5: Solve for x
    x = 101,144,180,014,665,984/147,656,592
  6. Step 6: Final answer
    x = 684,996,034.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.