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Finding the Third Proportional to 107,947,082 and 165,818,547

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Solution

The third proportional to 107,947,082 and 165,818,547 is: 254,715,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,947,082 : 165,818,547 = 165,818,547 : x
  2. Step 2: Convert to fraction form
    107,947,082/165,818,547 = 165,818,547/x
  3. Step 3: Cross multiply
    107,947,082x = 165,818,547 × 165,818,547
  4. Step 4: Simplify right side
    107,947,082x = 27,495,790,529,191,208
  5. Step 5: Solve for x
    x = 27,495,790,529,191,208/107,947,082
  6. Step 6: Final answer
    x = 254,715,458.91

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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.