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Finding the Third Proportional to 44,938,218.94 and 96,818,409

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Solution

The third proportional to 44,938,218.94 and 96,818,409 is: 208,593,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,938,218.94 : 96,818,409 = 96,818,409 : x
  2. Step 2: Convert to fraction form
    44,938,218.94/96,818,409 = 96,818,409/x
  3. Step 3: Cross multiply
    44,938,218.94x = 96,818,409 × 96,818,409
  4. Step 4: Simplify right side
    44,938,218.94x = 9,373,804,321,291,280
  5. Step 5: Solve for x
    x = 9,373,804,321,291,280/44,938,218.94
  6. Step 6: Final answer
    x = 208,593,142.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.