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Finding the Third Proportional to 60,269,968 and 130,814,464

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Solution

The third proportional to 60,269,968 and 130,814,464 is: 283,929,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,269,968 : 130,814,464 = 130,814,464 : x
  2. Step 2: Convert to fraction form
    60,269,968/130,814,464 = 130,814,464/x
  3. Step 3: Cross multiply
    60,269,968x = 130,814,464 × 130,814,464
  4. Step 4: Simplify right side
    60,269,968x = 17,112,423,991,607,296
  5. Step 5: Solve for x
    x = 17,112,423,991,607,296/60,269,968
  6. Step 6: Final answer
    x = 283,929,535.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.