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Finding the Third Proportional to 45,695,312 and 98,914,336

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Solution

The third proportional to 45,695,312 and 98,914,336 is: 214,114,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,695,312 : 98,914,336 = 98,914,336 : x
  2. Step 2: Convert to fraction form
    45,695,312/98,914,336 = 98,914,336/x
  3. Step 3: Cross multiply
    45,695,312x = 98,914,336 × 98,914,336
  4. Step 4: Simplify right side
    45,695,312x = 9,784,045,866,320,896
  5. Step 5: Solve for x
    x = 9,784,045,866,320,896/45,695,312
  6. Step 6: Final answer
    x = 214,114,871.70

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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.