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Finding the Third Proportional to 134,651,294 and 294,496,780

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Solution

The third proportional to 134,651,294 and 294,496,780 is: 644,095,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,651,294 : 294,496,780 = 294,496,780 : x
  2. Step 2: Convert to fraction form
    134,651,294/294,496,780 = 294,496,780/x
  3. Step 3: Cross multiply
    134,651,294x = 294,496,780 × 294,496,780
  4. Step 4: Simplify right side
    134,651,294x = 86,728,353,430,368,400
  5. Step 5: Solve for x
    x = 86,728,353,430,368,400/134,651,294
  6. Step 6: Final answer
    x = 644,095,952.25

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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.