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Finding the Third Proportional to 148,254,696 and 216,924,678

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Solution

The third proportional to 148,254,696 and 216,924,678 is: 317,401,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,254,696 : 216,924,678 = 216,924,678 : x
  2. Step 2: Convert to fraction form
    148,254,696/216,924,678 = 216,924,678/x
  3. Step 3: Cross multiply
    148,254,696x = 216,924,678 × 216,924,678
  4. Step 4: Simplify right side
    148,254,696x = 47,056,315,925,403,680
  5. Step 5: Solve for x
    x = 47,056,315,925,403,680/148,254,696
  6. Step 6: Final answer
    x = 317,401,857.72

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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.