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Finding the Third Proportional to 83,177,994 and 185,481,276

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Solution

The third proportional to 83,177,994 and 185,481,276 is: 413,610,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,177,994 : 185,481,276 = 185,481,276 : x
  2. Step 2: Convert to fraction form
    83,177,994/185,481,276 = 185,481,276/x
  3. Step 3: Cross multiply
    83,177,994x = 185,481,276 × 185,481,276
  4. Step 4: Simplify right side
    83,177,994x = 34,403,303,746,588,176
  5. Step 5: Solve for x
    x = 34,403,303,746,588,176/83,177,994
  6. Step 6: Final answer
    x = 413,610,644.98

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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.