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Finding the Third Proportional to 170,282,412 and 263,083,464

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Solution

The third proportional to 170,282,412 and 263,083,464 is: 406,459,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,282,412 : 263,083,464 = 263,083,464 : x
  2. Step 2: Convert to fraction form
    170,282,412/263,083,464 = 263,083,464/x
  3. Step 3: Cross multiply
    170,282,412x = 263,083,464 × 263,083,464
  4. Step 4: Simplify right side
    170,282,412x = 69,212,909,030,239,296
  5. Step 5: Solve for x
    x = 69,212,909,030,239,296/170,282,412
  6. Step 6: Final answer
    x = 406,459,529.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.