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Finding the Third Proportional to 48,784,780 and 106,072,292

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Solution

The third proportional to 48,784,780 and 106,072,292 is: 230,631,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784,780 : 106,072,292 = 106,072,292 : x
  2. Step 2: Convert to fraction form
    48,784,780/106,072,292 = 106,072,292/x
  3. Step 3: Cross multiply
    48,784,780x = 106,072,292 × 106,072,292
  4. Step 4: Simplify right side
    48,784,780x = 11,251,331,130,133,264
  5. Step 5: Solve for x
    x = 11,251,331,130,133,264/48,784,780
  6. Step 6: Final answer
    x = 230,631,994.86

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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.