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Finding the Third Proportional to 148,254,706 and 216,924,690

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Solution

The third proportional to 148,254,706 and 216,924,690 is: 317,401,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,254,706 : 216,924,690 = 216,924,690 : x
  2. Step 2: Convert to fraction form
    148,254,706/216,924,690 = 216,924,690/x
  3. Step 3: Cross multiply
    148,254,706x = 216,924,690 × 216,924,690
  4. Step 4: Simplify right side
    148,254,706x = 47,056,321,131,596,096
  5. Step 5: Solve for x
    x = 47,056,321,131,596,096/148,254,706
  6. Step 6: Final answer
    x = 317,401,871.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.