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Finding the Third Proportional to 60,208,428 and 128,184,216

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Solution

The third proportional to 60,208,428 and 128,184,216 is: 272,905,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,208,428 : 128,184,216 = 128,184,216 : x
  2. Step 2: Convert to fraction form
    60,208,428/128,184,216 = 128,184,216/x
  3. Step 3: Cross multiply
    60,208,428x = 128,184,216 × 128,184,216
  4. Step 4: Simplify right side
    60,208,428x = 16,431,193,231,534,656
  5. Step 5: Solve for x
    x = 16,431,193,231,534,656/60,208,428
  6. Step 6: Final answer
    x = 272,905,202.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.