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Finding the Third Proportional to 134,651,292 and 294,496,776

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Solution

The third proportional to 134,651,292 and 294,496,776 is: 644,095,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,651,292 : 294,496,776 = 294,496,776 : x
  2. Step 2: Convert to fraction form
    134,651,292/294,496,776 = 294,496,776/x
  3. Step 3: Cross multiply
    134,651,292x = 294,496,776 × 294,496,776
  4. Step 4: Simplify right side
    134,651,292x = 86,728,351,074,394,176
  5. Step 5: Solve for x
    x = 86,728,351,074,394,176/134,651,292
  6. Step 6: Final answer
    x = 644,095,944.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.