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Finding the Third Proportional to 86,008,803.75 and 185,710,441.50

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Solution

The third proportional to 86,008,803.75 and 185,710,441.50 is: 400,986,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,008,803.75 : 185,710,441.50 = 185,710,441.50 : x
  2. Step 2: Convert to fraction form
    86,008,803.75/185,710,441.50 = 185,710,441.50/x
  3. Step 3: Cross multiply
    86,008,803.75x = 185,710,441.50 × 185,710,441.50
  4. Step 4: Simplify right side
    86,008,803.75x = 34,488,368,082,124,924
  5. Step 5: Solve for x
    x = 34,488,368,082,124,924/86,008,803.75
  6. Step 6: Final answer
    x = 400,986,487.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.