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Finding the Third Proportional to 208,603,521 and 434,374,235

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Solution

The third proportional to 208,603,521 and 434,374,235 is: 904,495,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,603,521 : 434,374,235 = 434,374,235 : x
  2. Step 2: Convert to fraction form
    208,603,521/434,374,235 = 434,374,235/x
  3. Step 3: Cross multiply
    208,603,521x = 434,374,235 × 434,374,235
  4. Step 4: Simplify right side
    208,603,521x = 188,680,976,031,835,232
  5. Step 5: Solve for x
    x = 188,680,976,031,835,232/208,603,521
  6. Step 6: Final answer
    x = 904,495,643.83

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