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Finding the Third Proportional to 106,308,018 and 166,547,880

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Solution

The third proportional to 106,308,018 and 166,547,880 is: 260,922,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308,018 : 166,547,880 = 166,547,880 : x
  2. Step 2: Convert to fraction form
    106,308,018/166,547,880 = 166,547,880/x
  3. Step 3: Cross multiply
    106,308,018x = 166,547,880 × 166,547,880
  4. Step 4: Simplify right side
    106,308,018x = 27,738,196,332,494,400
  5. Step 5: Solve for x
    x = 27,738,196,332,494,400/106,308,018
  6. Step 6: Final answer
    x = 260,922,899.84

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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.