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Finding the Third Proportional to 83,187,875.81 and 179,528,916.38

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Solution

The third proportional to 83,187,875.81 and 179,528,916.38 is: 387,443,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187,875.81 : 179,528,916.38 = 179,528,916.38 : x
  2. Step 2: Convert to fraction form
    83,187,875.81/179,528,916.38 = 179,528,916.38/x
  3. Step 3: Cross multiply
    83,187,875.81x = 179,528,916.38 × 179,528,916.38
  4. Step 4: Simplify right side
    83,187,875.81x = 32,230,631,814,785,340
  5. Step 5: Solve for x
    x = 32,230,631,814,785,340/83,187,875.81
  6. Step 6: Final answer
    x = 387,443,861.26

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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.