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Finding the Third Proportional to 94,305,028 and 208,430,792

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Solution

The third proportional to 94,305,028 and 208,430,792 is: 460,668,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,305,028 : 208,430,792 = 208,430,792 : x
  2. Step 2: Convert to fraction form
    94,305,028/208,430,792 = 208,430,792/x
  3. Step 3: Cross multiply
    94,305,028x = 208,430,792 × 208,430,792
  4. Step 4: Simplify right side
    94,305,028x = 43,443,395,053,747,264
  5. Step 5: Solve for x
    x = 43,443,395,053,747,264/94,305,028
  6. Step 6: Final answer
    x = 460,668,916.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.