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Finding the Third Proportional to 141,153,234 and 305,756,324

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Solution

The third proportional to 141,153,234 and 305,756,324 is: 662,308,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,153,234 : 305,756,324 = 305,756,324 : x
  2. Step 2: Convert to fraction form
    141,153,234/305,756,324 = 305,756,324/x
  3. Step 3: Cross multiply
    141,153,234x = 305,756,324 × 305,756,324
  4. Step 4: Simplify right side
    141,153,234x = 93,486,929,665,992,976
  5. Step 5: Solve for x
    x = 93,486,929,665,992,976/141,153,234
  6. Step 6: Final answer
    x = 662,308,096.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.