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Finding the Third Proportional to 36,088,005.38 and 74,089,141.88

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Solution

The third proportional to 36,088,005.38 and 74,089,141.88 is: 152,105,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,088,005.38 : 74,089,141.88 = 74,089,141.88 : x
  2. Step 2: Convert to fraction form
    36,088,005.38/74,089,141.88 = 74,089,141.88/x
  3. Step 3: Cross multiply
    36,088,005.38x = 74,089,141.88 × 74,089,141.88
  4. Step 4: Simplify right side
    36,088,005.38x = 5,489,200,943,773,879
  5. Step 5: Solve for x
    x = 5,489,200,943,773,879/36,088,005.38
  6. Step 6: Final answer
    x = 152,105,966.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.