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Finding the Third Proportional to 186,764,416.88 and 279,117,264.94

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Solution

The third proportional to 186,764,416.88 and 279,117,264.94 is: 417,137,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,764,416.88 : 279,117,264.94 = 279,117,264.94 : x
  2. Step 2: Convert to fraction form
    186,764,416.88/279,117,264.94 = 279,117,264.94/x
  3. Step 3: Cross multiply
    186,764,416.88x = 279,117,264.94 × 279,117,264.94
  4. Step 4: Simplify right side
    186,764,416.88x = 77,906,447,586,190,560
  5. Step 5: Solve for x
    x = 77,906,447,586,190,560/186,764,416.88
  6. Step 6: Final answer
    x = 417,137,530.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.