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Finding the Third Proportional to 104,960,628 and 144,686,154

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Solution

The third proportional to 104,960,628 and 144,686,154 is: 199,447,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,960,628 : 144,686,154 = 144,686,154 : x
  2. Step 2: Convert to fraction form
    104,960,628/144,686,154 = 144,686,154/x
  3. Step 3: Cross multiply
    104,960,628x = 144,686,154 × 144,686,154
  4. Step 4: Simplify right side
    104,960,628x = 20,934,083,159,311,716
  5. Step 5: Solve for x
    x = 20,934,083,159,311,716/104,960,628
  6. Step 6: Final answer
    x = 199,447,007.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.