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Finding the Third Proportional to 40,297,073.06 and 86,341,064.06

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Solution

The third proportional to 40,297,073.06 and 86,341,064.06 is: 184,995,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,297,073.06 : 86,341,064.06 = 86,341,064.06 : x
  2. Step 2: Convert to fraction form
    40,297,073.06/86,341,064.06 = 86,341,064.06/x
  3. Step 3: Cross multiply
    40,297,073.06x = 86,341,064.06 × 86,341,064.06
  4. Step 4: Simplify right side
    40,297,073.06x = 7,454,779,343,444,729
  5. Step 5: Solve for x
    x = 7,454,779,343,444,729/40,297,073.06
  6. Step 6: Final answer
    x = 184,995,553.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.