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Finding the Third Proportional to 105,785,271 and 160,277,784.75

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Solution

The third proportional to 105,785,271 and 160,277,784.75 is: 242,840,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,785,271 : 160,277,784.75 = 160,277,784.75 : x
  2. Step 2: Convert to fraction form
    105,785,271/160,277,784.75 = 160,277,784.75/x
  3. Step 3: Cross multiply
    105,785,271x = 160,277,784.75 × 160,277,784.75
  4. Step 4: Simplify right side
    105,785,271x = 25,688,968,284,367,332
  5. Step 5: Solve for x
    x = 25,688,968,284,367,332/105,785,271
  6. Step 6: Final answer
    x = 242,840,690.78

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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.