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Finding the Third Proportional to 148,361,310 and 218,097,705

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Solution

The third proportional to 148,361,310 and 218,097,705 is: 320,613,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,361,310 : 218,097,705 = 218,097,705 : x
  2. Step 2: Convert to fraction form
    148,361,310/218,097,705 = 218,097,705/x
  3. Step 3: Cross multiply
    148,361,310x = 218,097,705 × 218,097,705
  4. Step 4: Simplify right side
    148,361,310x = 47,566,608,926,267,024
  5. Step 5: Solve for x
    x = 47,566,608,926,267,024/148,361,310
  6. Step 6: Final answer
    x = 320,613,298.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.