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Finding the Third Proportional to 91,363,824 and 197,781,984

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Solution

The third proportional to 91,363,824 and 197,781,984 is: 428,153,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,363,824 : 197,781,984 = 197,781,984 : x
  2. Step 2: Convert to fraction form
    91,363,824/197,781,984 = 197,781,984/x
  3. Step 3: Cross multiply
    91,363,824x = 197,781,984 × 197,781,984
  4. Step 4: Simplify right side
    91,363,824x = 39,117,713,194,976,256
  5. Step 5: Solve for x
    x = 39,117,713,194,976,256/91,363,824
  6. Step 6: Final answer
    x = 428,153,195.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.