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Finding the Third Proportional to 176,686,446 and 377,937,274.50

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Solution

The third proportional to 176,686,446 and 377,937,274.50 is: 808,418,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,686,446 : 377,937,274.50 = 377,937,274.50 : x
  2. Step 2: Convert to fraction form
    176,686,446/377,937,274.50 = 377,937,274.50/x
  3. Step 3: Cross multiply
    176,686,446x = 377,937,274.50 × 377,937,274.50
  4. Step 4: Simplify right side
    176,686,446x = 142,836,583,456,488,352
  5. Step 5: Solve for x
    x = 142,836,583,456,488,352/176,686,446
  6. Step 6: Final answer
    x = 808,418,453.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.