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Finding the Third Proportional to 199,557,201 and 426,693,017.25

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Solution

The third proportional to 199,557,201 and 426,693,017.25 is: 912,354,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,557,201 : 426,693,017.25 = 426,693,017.25 : x
  2. Step 2: Convert to fraction form
    199,557,201/426,693,017.25 = 426,693,017.25/x
  3. Step 3: Cross multiply
    199,557,201x = 426,693,017.25 × 426,693,017.25
  4. Step 4: Simplify right side
    199,557,201x = 182,066,930,969,908,800
  5. Step 5: Solve for x
    x = 182,066,930,969,908,800/199,557,201
  6. Step 6: Final answer
    x = 912,354,603.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.