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Finding the Third Proportional to 216,176,374 and 334,604,698

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Solution

The third proportional to 216,176,374 and 334,604,698 is: 517,911,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,176,374 : 334,604,698 = 334,604,698 : x
  2. Step 2: Convert to fraction form
    216,176,374/334,604,698 = 334,604,698/x
  3. Step 3: Cross multiply
    216,176,374x = 334,604,698 × 334,604,698
  4. Step 4: Simplify right side
    216,176,374x = 111,960,303,923,671,200
  5. Step 5: Solve for x
    x = 111,960,303,923,671,200/216,176,374
  6. Step 6: Final answer
    x = 517,911,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.