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Finding the Third Proportional to 148,254,706.50 and 216,924,691.50

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Solution

The third proportional to 148,254,706.50 and 216,924,691.50 is: 317,401,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,254,706.50 : 216,924,691.50 = 216,924,691.50 : x
  2. Step 2: Convert to fraction form
    148,254,706.50/216,924,691.50 = 216,924,691.50/x
  3. Step 3: Cross multiply
    148,254,706.50x = 216,924,691.50 × 216,924,691.50
  4. Step 4: Simplify right side
    148,254,706.50x = 47,056,321,782,370,176
  5. Step 5: Solve for x
    x = 47,056,321,782,370,176/148,254,706.50
  6. Step 6: Final answer
    x = 317,401,874.74

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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.