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Finding the Third Proportional to 154,711,084 and 232,066,654

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Solution

The third proportional to 154,711,084 and 232,066,654 is: 348,100,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,711,084 : 232,066,654 = 232,066,654 : x
  2. Step 2: Convert to fraction form
    154,711,084/232,066,654 = 232,066,654/x
  3. Step 3: Cross multiply
    154,711,084x = 232,066,654 × 232,066,654
  4. Step 4: Simplify right side
    154,711,084x = 53,854,931,898,755,712
  5. Step 5: Solve for x
    x = 53,854,931,898,755,712/154,711,084
  6. Step 6: Final answer
    x = 348,100,023.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.