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Finding the Third Proportional to 85,563,539 and 186,806,409

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Solution

The third proportional to 85,563,539 and 186,806,409 is: 407,844,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,563,539 : 186,806,409 = 186,806,409 : x
  2. Step 2: Convert to fraction form
    85,563,539/186,806,409 = 186,806,409/x
  3. Step 3: Cross multiply
    85,563,539x = 186,806,409 × 186,806,409
  4. Step 4: Simplify right side
    85,563,539x = 34,896,634,443,475,280
  5. Step 5: Solve for x
    x = 34,896,634,443,475,280/85,563,539
  6. Step 6: Final answer
    x = 407,844,683.04

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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.