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Finding the Third Proportional to 105,785,273 and 160,277,788

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Solution

The third proportional to 105,785,273 and 160,277,788 is: 242,840,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,785,273 : 160,277,788 = 160,277,788 : x
  2. Step 2: Convert to fraction form
    105,785,273/160,277,788 = 160,277,788/x
  3. Step 3: Cross multiply
    105,785,273x = 160,277,788 × 160,277,788
  4. Step 4: Simplify right side
    105,785,273x = 25,688,969,326,172,944
  5. Step 5: Solve for x
    x = 25,688,969,326,172,944/105,785,273
  6. Step 6: Final answer
    x = 242,840,696.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.