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Finding the Third Proportional to 108,048,864 and 161,776,164

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Solution

The third proportional to 108,048,864 and 161,776,164 is: 242,219,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,048,864 : 161,776,164 = 161,776,164 : x
  2. Step 2: Convert to fraction form
    108,048,864/161,776,164 = 161,776,164/x
  3. Step 3: Cross multiply
    108,048,864x = 161,776,164 × 161,776,164
  4. Step 4: Simplify right side
    108,048,864x = 26,171,527,238,554,896
  5. Step 5: Solve for x
    x = 26,171,527,238,554,896/108,048,864
  6. Step 6: Final answer
    x = 242,219,365.11

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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.