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Finding the Third Proportional to 120,702,938 and 260,699,668

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Solution

The third proportional to 120,702,938 and 260,699,668 is: 563,070,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,702,938 : 260,699,668 = 260,699,668 : x
  2. Step 2: Convert to fraction form
    120,702,938/260,699,668 = 260,699,668/x
  3. Step 3: Cross multiply
    120,702,938x = 260,699,668 × 260,699,668
  4. Step 4: Simplify right side
    120,702,938x = 67,964,316,895,310,224
  5. Step 5: Solve for x
    x = 67,964,316,895,310,224/120,702,938
  6. Step 6: Final answer
    x = 563,070,941.12

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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.