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Finding the Third Proportional to 153,404,851 and 328,347,832

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Solution

The third proportional to 153,404,851 and 328,347,832 is: 702,795,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,404,851 : 328,347,832 = 328,347,832 : x
  2. Step 2: Convert to fraction form
    153,404,851/328,347,832 = 328,347,832/x
  3. Step 3: Cross multiply
    153,404,851x = 328,347,832 × 328,347,832
  4. Step 4: Simplify right side
    153,404,851x = 107,812,298,779,100,224
  5. Step 5: Solve for x
    x = 107,812,298,779,100,224/153,404,851
  6. Step 6: Final answer
    x = 702,795,889.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.