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Finding the Third Proportional to 83,455,664 and 127,663,176

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Solution

The third proportional to 83,455,664 and 127,663,176 is: 195,287,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,455,664 : 127,663,176 = 127,663,176 : x
  2. Step 2: Convert to fraction form
    83,455,664/127,663,176 = 127,663,176/x
  3. Step 3: Cross multiply
    83,455,664x = 127,663,176 × 127,663,176
  4. Step 4: Simplify right side
    83,455,664x = 16,297,886,506,406,976
  5. Step 5: Solve for x
    x = 16,297,886,506,406,976/83,455,664
  6. Step 6: Final answer
    x = 195,287,961.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.