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Finding the Third Proportional to 75,443,664 and 165,010,490

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Solution

The third proportional to 75,443,664 and 165,010,490 is: 360,911,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,443,664 : 165,010,490 = 165,010,490 : x
  2. Step 2: Convert to fraction form
    75,443,664/165,010,490 = 165,010,490/x
  3. Step 3: Cross multiply
    75,443,664x = 165,010,490 × 165,010,490
  4. Step 4: Simplify right side
    75,443,664x = 27,228,461,810,040,100
  5. Step 5: Solve for x
    x = 27,228,461,810,040,100/75,443,664
  6. Step 6: Final answer
    x = 360,911,180.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.