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Finding the Third Proportional to 94,338,760 and 205,292,240

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Solution

The third proportional to 94,338,760 and 205,292,240 is: 446,740,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,338,760 : 205,292,240 = 205,292,240 : x
  2. Step 2: Convert to fraction form
    94,338,760/205,292,240 = 205,292,240/x
  3. Step 3: Cross multiply
    94,338,760x = 205,292,240 × 205,292,240
  4. Step 4: Simplify right side
    94,338,760x = 42,144,903,804,217,600
  5. Step 5: Solve for x
    x = 42,144,903,804,217,600/94,338,760
  6. Step 6: Final answer
    x = 446,740,065.32

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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.