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Finding the Third Proportional to 160,164,883 and 349,688,048

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Solution

The third proportional to 160,164,883 and 349,688,048 is: 763,474,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,164,883 : 349,688,048 = 349,688,048 : x
  2. Step 2: Convert to fraction form
    160,164,883/349,688,048 = 349,688,048/x
  3. Step 3: Cross multiply
    160,164,883x = 349,688,048 × 349,688,048
  4. Step 4: Simplify right side
    160,164,883x = 122,281,730,914,050,304
  5. Step 5: Solve for x
    x = 122,281,730,914,050,304/160,164,883
  6. Step 6: Final answer
    x = 763,474,043.90

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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.