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Finding the Third Proportional to 109,269,853,386 and 243,664,387,203

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Solution

The third proportional to 109,269,853,386 and 243,664,387,203 is: 543,355,113,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269,853,386 : 243,664,387,203 = 243,664,387,203 : x
  2. Step 2: Convert to fraction form
    109,269,853,386/243,664,387,203 = 243,664,387,203/x
  3. Step 3: Cross multiply
    109,269,853,386x = 243,664,387,203 × 243,664,387,203
  4. Step 4: Simplify right side
    109,269,853,386x = 59,372,333,591,013,506,416,640
  5. Step 5: Solve for x
    x = 59,372,333,591,013,506,416,640/109,269,853,386
  6. Step 6: Final answer
    x = 543,355,113,521.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.