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Finding the Third Proportional to 106,308,023 and 166,547,888

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Solution

The third proportional to 106,308,023 and 166,547,888 is: 260,922,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308,023 : 166,547,888 = 166,547,888 : x
  2. Step 2: Convert to fraction form
    106,308,023/166,547,888 = 166,547,888/x
  3. Step 3: Cross multiply
    106,308,023x = 166,547,888 × 166,547,888
  4. Step 4: Simplify right side
    106,308,023x = 27,738,198,997,260,544
  5. Step 5: Solve for x
    x = 27,738,198,997,260,544/106,308,023
  6. Step 6: Final answer
    x = 260,922,912.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.