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Finding the Third Proportional to 111,911,844 and 172,651,428

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Solution

The third proportional to 111,911,844 and 172,651,428 is: 266,357,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,911,844 : 172,651,428 = 172,651,428 : x
  2. Step 2: Convert to fraction form
    111,911,844/172,651,428 = 172,651,428/x
  3. Step 3: Cross multiply
    111,911,844x = 172,651,428 × 172,651,428
  4. Step 4: Simplify right side
    111,911,844x = 29,808,515,590,439,184
  5. Step 5: Solve for x
    x = 29,808,515,590,439,184/111,911,844
  6. Step 6: Final answer
    x = 266,357,112.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.