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Finding the Third Proportional to 82,111,236 and 114,796,341

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Solution

The third proportional to 82,111,236 and 114,796,341 is: 160,492,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111,236 : 114,796,341 = 114,796,341 : x
  2. Step 2: Convert to fraction form
    82,111,236/114,796,341 = 114,796,341/x
  3. Step 3: Cross multiply
    82,111,236x = 114,796,341 × 114,796,341
  4. Step 4: Simplify right side
    82,111,236x = 13,178,199,906,988,280
  5. Step 5: Solve for x
    x = 13,178,199,906,988,280/82,111,236
  6. Step 6: Final answer
    x = 160,492,041.64

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