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Finding the Third Proportional to 82,827,646.50 and 180,199,570.50

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Solution

The third proportional to 82,827,646.50 and 180,199,570.50 is: 392,041,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827,646.50 : 180,199,570.50 = 180,199,570.50 : x
  2. Step 2: Convert to fraction form
    82,827,646.50/180,199,570.50 = 180,199,570.50/x
  3. Step 3: Cross multiply
    82,827,646.50x = 180,199,570.50 × 180,199,570.50
  4. Step 4: Simplify right side
    82,827,646.50x = 32,471,885,208,384,472
  5. Step 5: Solve for x
    x = 32,471,885,208,384,472/82,827,646.50
  6. Step 6: Final answer
    x = 392,041,625.96

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Why These Related Problems?

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