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Finding the Third Proportional to 85,182,569.16 and 185,290,003.41

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Solution

The third proportional to 85,182,569.16 and 185,290,003.41 is: 403,044,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,182,569.16 : 185,290,003.41 = 185,290,003.41 : x
  2. Step 2: Convert to fraction form
    85,182,569.16/185,290,003.41 = 185,290,003.41/x
  3. Step 3: Cross multiply
    85,182,569.16x = 185,290,003.41 × 185,290,003.41
  4. Step 4: Simplify right side
    85,182,569.16x = 34,332,385,362,288,136
  5. Step 5: Solve for x
    x = 34,332,385,362,288,136/85,182,569.16
  6. Step 6: Final answer
    x = 403,044,727.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.