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Finding the Third Proportional to 271,673,547.75 and 423,652,828.50

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Solution

The third proportional to 271,673,547.75 and 423,652,828.50 is: 660,652,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,673,547.75 : 423,652,828.50 = 423,652,828.50 : x
  2. Step 2: Convert to fraction form
    271,673,547.75/423,652,828.50 = 423,652,828.50/x
  3. Step 3: Cross multiply
    271,673,547.75x = 423,652,828.50 × 423,652,828.50
  4. Step 4: Simplify right side
    271,673,547.75x = 179,481,719,096,050,400
  5. Step 5: Solve for x
    x = 179,481,719,096,050,400/271,673,547.75
  6. Step 6: Final answer
    x = 660,652,170.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.