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Finding the Third Proportional to 45,695,308 and 98,914,328

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Solution

The third proportional to 45,695,308 and 98,914,328 is: 214,114,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,695,308 : 98,914,328 = 98,914,328 : x
  2. Step 2: Convert to fraction form
    45,695,308/98,914,328 = 98,914,328/x
  3. Step 3: Cross multiply
    45,695,308x = 98,914,328 × 98,914,328
  4. Step 4: Simplify right side
    45,695,308x = 9,784,044,283,691,584
  5. Step 5: Solve for x
    x = 9,784,044,283,691,584/45,695,308
  6. Step 6: Final answer
    x = 214,114,855.81

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Why These Related Problems?

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