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Finding the Third Proportional to 302,095,923.75 and 466,488,958.50

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Solution

The third proportional to 302,095,923.75 and 466,488,958.50 is: 720,340,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,095,923.75 : 466,488,958.50 = 466,488,958.50 : x
  2. Step 2: Convert to fraction form
    302,095,923.75/466,488,958.50 = 466,488,958.50/x
  3. Step 3: Cross multiply
    302,095,923.75x = 466,488,958.50 × 466,488,958.50
  4. Step 4: Simplify right side
    302,095,923.75x = 217,611,948,402,414,720
  5. Step 5: Solve for x
    x = 217,611,948,402,414,720/302,095,923.75
  6. Step 6: Final answer
    x = 720,340,565.01

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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.