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Finding the Third Proportional to 208,603,523 and 434,374,239

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Solution

The third proportional to 208,603,523 and 434,374,239 is: 904,495,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,603,523 : 434,374,239 = 434,374,239 : x
  2. Step 2: Convert to fraction form
    208,603,523/434,374,239 = 434,374,239/x
  3. Step 3: Cross multiply
    208,603,523x = 434,374,239 × 434,374,239
  4. Step 4: Simplify right side
    208,603,523x = 188,680,979,506,829,120
  5. Step 5: Solve for x
    x = 188,680,979,506,829,120/208,603,523
  6. Step 6: Final answer
    x = 904,495,651.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.