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Finding the Third Proportional to 198,252,645 and 429,448,746

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Solution

The third proportional to 198,252,645 and 429,448,746 is: 930,258,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,645 : 429,448,746 = 429,448,746 : x
  2. Step 2: Convert to fraction form
    198,252,645/429,448,746 = 429,448,746/x
  3. Step 3: Cross multiply
    198,252,645x = 429,448,746 × 429,448,746
  4. Step 4: Simplify right side
    198,252,645x = 184,426,225,440,972,512
  5. Step 5: Solve for x
    x = 184,426,225,440,972,512/198,252,645
  6. Step 6: Final answer
    x = 930,258,587.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.