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Finding the Third Proportional to 140,819,024 and 224,070,752

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Solution

The third proportional to 140,819,024 and 224,070,752 is: 356,540,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,819,024 : 224,070,752 = 224,070,752 : x
  2. Step 2: Convert to fraction form
    140,819,024/224,070,752 = 224,070,752/x
  3. Step 3: Cross multiply
    140,819,024x = 224,070,752 × 224,070,752
  4. Step 4: Simplify right side
    140,819,024x = 50,207,701,901,845,504
  5. Step 5: Solve for x
    x = 50,207,701,901,845,504/140,819,024
  6. Step 6: Final answer
    x = 356,540,618.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.