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Finding the Third Proportional to 108,263,387 and 252,623,295

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Solution

The third proportional to 108,263,387 and 252,623,295 is: 589,474,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,263,387 : 252,623,295 = 252,623,295 : x
  2. Step 2: Convert to fraction form
    108,263,387/252,623,295 = 252,623,295/x
  3. Step 3: Cross multiply
    108,263,387x = 252,623,295 × 252,623,295
  4. Step 4: Simplify right side
    108,263,387x = 63,818,529,176,657,024
  5. Step 5: Solve for x
    x = 63,818,529,176,657,024/108,263,387
  6. Step 6: Final answer
    x = 589,474,714.81

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.