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Finding the Third Proportional to 154,711,089 and 232,066,661.50

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Solution

The third proportional to 154,711,089 and 232,066,661.50 is: 348,100,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,711,089 : 232,066,661.50 = 232,066,661.50 : x
  2. Step 2: Convert to fraction form
    154,711,089/232,066,661.50 = 232,066,661.50/x
  3. Step 3: Cross multiply
    154,711,089x = 232,066,661.50 × 232,066,661.50
  4. Step 4: Simplify right side
    154,711,089x = 53,854,935,379,755,584
  5. Step 5: Solve for x
    x = 53,854,935,379,755,584/154,711,089
  6. Step 6: Final answer
    x = 348,100,034.25

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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.