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Finding the Third Proportional to 94,338,752 and 205,292,224

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Solution

The third proportional to 94,338,752 and 205,292,224 is: 446,740,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,338,752 : 205,292,224 = 205,292,224 : x
  2. Step 2: Convert to fraction form
    94,338,752/205,292,224 = 205,292,224/x
  3. Step 3: Cross multiply
    94,338,752x = 205,292,224 × 205,292,224
  4. Step 4: Simplify right side
    94,338,752x = 42,144,897,234,866,176
  5. Step 5: Solve for x
    x = 42,144,897,234,866,176/94,338,752
  6. Step 6: Final answer
    x = 446,740,033.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.