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Finding the Third Proportional to 120,702,936 and 260,699,664

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Solution

The third proportional to 120,702,936 and 260,699,664 is: 563,070,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,702,936 : 260,699,664 = 260,699,664 : x
  2. Step 2: Convert to fraction form
    120,702,936/260,699,664 = 260,699,664/x
  3. Step 3: Cross multiply
    120,702,936x = 260,699,664 × 260,699,664
  4. Step 4: Simplify right side
    120,702,936x = 67,964,314,809,712,896
  5. Step 5: Solve for x
    x = 67,964,314,809,712,896/120,702,936
  6. Step 6: Final answer
    x = 563,070,933.17

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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.