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Finding the Third Proportional to 107,810,184 and 234,509,808

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Solution

The third proportional to 107,810,184 and 234,509,808 is: 510,108,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,810,184 : 234,509,808 = 234,509,808 : x
  2. Step 2: Convert to fraction form
    107,810,184/234,509,808 = 234,509,808/x
  3. Step 3: Cross multiply
    107,810,184x = 234,509,808 × 234,509,808
  4. Step 4: Simplify right side
    107,810,184x = 54,994,850,048,196,864
  5. Step 5: Solve for x
    x = 54,994,850,048,196,864/107,810,184
  6. Step 6: Final answer
    x = 510,108,117.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.