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Finding the Third Proportional to 189,124,661.25 and 296,653,905

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Solution

The third proportional to 189,124,661.25 and 296,653,905 is: 465,320,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,124,661.25 : 296,653,905 = 296,653,905 : x
  2. Step 2: Convert to fraction form
    189,124,661.25/296,653,905 = 296,653,905/x
  3. Step 3: Cross multiply
    189,124,661.25x = 296,653,905 × 296,653,905
  4. Step 4: Simplify right side
    189,124,661.25x = 88,003,539,351,749,024
  5. Step 5: Solve for x
    x = 88,003,539,351,749,024/189,124,661.25
  6. Step 6: Final answer
    x = 465,320,274.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.