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Finding the Third Proportional to 82,111,234 and 114,796,338

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Solution

The third proportional to 82,111,234 and 114,796,338 is: 160,492,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111,234 : 114,796,338 = 114,796,338 : x
  2. Step 2: Convert to fraction form
    82,111,234/114,796,338 = 114,796,338/x
  3. Step 3: Cross multiply
    82,111,234x = 114,796,338 × 114,796,338
  4. Step 4: Simplify right side
    82,111,234x = 13,178,199,218,210,244
  5. Step 5: Solve for x
    x = 13,178,199,218,210,244/82,111,234
  6. Step 6: Final answer
    x = 160,492,037.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.