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Finding the Third Proportional to 106,308,024 and 166,547,889

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Solution

The third proportional to 106,308,024 and 166,547,889 is: 260,922,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308,024 : 166,547,889 = 166,547,889 : x
  2. Step 2: Convert to fraction form
    106,308,024/166,547,889 = 166,547,889/x
  3. Step 3: Cross multiply
    106,308,024x = 166,547,889 × 166,547,889
  4. Step 4: Simplify right side
    106,308,024x = 27,738,199,330,356,320
  5. Step 5: Solve for x
    x = 27,738,199,330,356,320/106,308,024
  6. Step 6: Final answer
    x = 260,922,913.31

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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.