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Finding the Third Proportional to 109,698,795 and 227,900,587.50

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Solution

The third proportional to 109,698,795 and 227,900,587.50 is: 473,466,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,698,795 : 227,900,587.50 = 227,900,587.50 : x
  2. Step 2: Convert to fraction form
    109,698,795/227,900,587.50 = 227,900,587.50/x
  3. Step 3: Cross multiply
    109,698,795x = 227,900,587.50 × 227,900,587.50
  4. Step 4: Simplify right side
    109,698,795x = 51,938,677,782,845,160
  5. Step 5: Solve for x
    x = 51,938,677,782,845,160/109,698,795
  6. Step 6: Final answer
    x = 473,466,256.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.