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Finding the Third Proportional to 120,787,090 and 184,693,566

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Solution

The third proportional to 120,787,090 and 184,693,566 is: 282,411,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787,090 : 184,693,566 = 184,693,566 : x
  2. Step 2: Convert to fraction form
    120,787,090/184,693,566 = 184,693,566/x
  3. Step 3: Cross multiply
    120,787,090x = 184,693,566 × 184,693,566
  4. Step 4: Simplify right side
    120,787,090x = 34,111,713,321,796,356
  5. Step 5: Solve for x
    x = 34,111,713,321,796,356/120,787,090
  6. Step 6: Final answer
    x = 282,411,914.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.