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Finding the Third Proportional to 44,233,498,335 and 97,483,192,206

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Solution

The third proportional to 44,233,498,335 and 97,483,192,206 is: 214,836,563,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,233,498,335 : 97,483,192,206 = 97,483,192,206 : x
  2. Step 2: Convert to fraction form
    44,233,498,335/97,483,192,206 = 97,483,192,206/x
  3. Step 3: Cross multiply
    44,233,498,335x = 97,483,192,206 × 97,483,192,206
  4. Step 4: Simplify right side
    44,233,498,335x = 9,502,972,762,671,938,535,424
  5. Step 5: Solve for x
    x = 9,502,972,762,671,938,535,424/44,233,498,335
  6. Step 6: Final answer
    x = 214,836,563,246.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.