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Finding the Third Proportional to 120,696,445 and 260,688,069

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Solution

The third proportional to 120,696,445 and 260,688,069 is: 563,051,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,696,445 : 260,688,069 = 260,688,069 : x
  2. Step 2: Convert to fraction form
    120,696,445/260,688,069 = 260,688,069/x
  3. Step 3: Cross multiply
    120,696,445x = 260,688,069 × 260,688,069
  4. Step 4: Simplify right side
    120,696,445x = 67,958,269,318,948,760
  5. Step 5: Solve for x
    x = 67,958,269,318,948,760/120,696,445
  6. Step 6: Final answer
    x = 563,051,126.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.