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Finding the Third Proportional to 186,388,526 and 277,966,451

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Solution

The third proportional to 186,388,526 and 277,966,451 is: 414,539,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,388,526 : 277,966,451 = 277,966,451 : x
  2. Step 2: Convert to fraction form
    186,388,526/277,966,451 = 277,966,451/x
  3. Step 3: Cross multiply
    186,388,526x = 277,966,451 × 277,966,451
  4. Step 4: Simplify right side
    186,388,526x = 77,265,347,881,535,408
  5. Step 5: Solve for x
    x = 77,265,347,881,535,408/186,388,526
  6. Step 6: Final answer
    x = 414,539,186.18

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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.