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Finding the Third Proportional to 82,786,220 and 174,153,256

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Solution

The third proportional to 82,786,220 and 174,153,256 is: 366,357,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,786,220 : 174,153,256 = 174,153,256 : x
  2. Step 2: Convert to fraction form
    82,786,220/174,153,256 = 174,153,256/x
  3. Step 3: Cross multiply
    82,786,220x = 174,153,256 × 174,153,256
  4. Step 4: Simplify right side
    82,786,220x = 30,329,356,575,401,536
  5. Step 5: Solve for x
    x = 30,329,356,575,401,536/82,786,220
  6. Step 6: Final answer
    x = 366,357,548.10

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.