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Finding the Third Proportional to 82,786,222 and 174,153,260

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Solution

The third proportional to 82,786,222 and 174,153,260 is: 366,357,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,786,222 : 174,153,260 = 174,153,260 : x
  2. Step 2: Convert to fraction form
    82,786,222/174,153,260 = 174,153,260/x
  3. Step 3: Cross multiply
    82,786,222x = 174,153,260 × 174,153,260
  4. Step 4: Simplify right side
    82,786,222x = 30,329,357,968,627,600
  5. Step 5: Solve for x
    x = 30,329,357,968,627,600/82,786,222
  6. Step 6: Final answer
    x = 366,357,556.08

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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.