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Finding the Third Proportional to 94,346,910 and 142,185,213

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Solution

The third proportional to 94,346,910 and 142,185,213 is: 214,279,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,346,910 : 142,185,213 = 142,185,213 : x
  2. Step 2: Convert to fraction form
    94,346,910/142,185,213 = 142,185,213/x
  3. Step 3: Cross multiply
    94,346,910x = 142,185,213 × 142,185,213
  4. Step 4: Simplify right side
    94,346,910x = 20,216,634,795,855,368
  5. Step 5: Solve for x
    x = 20,216,634,795,855,368/94,346,910
  6. Step 6: Final answer
    x = 214,279,776.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.