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Finding the Third Proportional to 138,769,767,946.50 and 187,233,000,174

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Solution

The third proportional to 138,769,767,946.50 and 187,233,000,174 is: 252,621,279,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769,767,946.50 : 187,233,000,174 = 187,233,000,174 : x
  2. Step 2: Convert to fraction form
    138,769,767,946.50/187,233,000,174 = 187,233,000,174/x
  3. Step 3: Cross multiply
    138,769,767,946.50x = 187,233,000,174 × 187,233,000,174
  4. Step 4: Simplify right side
    138,769,767,946.50x = 35,056,196,354,157,085,458,432
  5. Step 5: Solve for x
    x = 35,056,196,354,157,085,458,432/138,769,767,946.50
  6. Step 6: Final answer
    x = 252,621,279,641.20

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.