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Finding the Third Proportional to 110,675,207 and 165,402,819

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Solution

The third proportional to 110,675,207 and 165,402,819 is: 247,192,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,675,207 : 165,402,819 = 165,402,819 : x
  2. Step 2: Convert to fraction form
    110,675,207/165,402,819 = 165,402,819/x
  3. Step 3: Cross multiply
    110,675,207x = 165,402,819 × 165,402,819
  4. Step 4: Simplify right side
    110,675,207x = 27,358,092,533,146,760
  5. Step 5: Solve for x
    x = 27,358,092,533,146,760/110,675,207
  6. Step 6: Final answer
    x = 247,192,603.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.