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Finding the Third Proportional to 96,045,000 and 210,756,720

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Solution

The third proportional to 96,045,000 and 210,756,720 is: 462,474,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,045,000 : 210,756,720 = 210,756,720 : x
  2. Step 2: Convert to fraction form
    96,045,000/210,756,720 = 210,756,720/x
  3. Step 3: Cross multiply
    96,045,000x = 210,756,720 × 210,756,720
  4. Step 4: Simplify right side
    96,045,000x = 44,418,395,025,158,400
  5. Step 5: Solve for x
    x = 44,418,395,025,158,400/96,045,000
  6. Step 6: Final answer
    x = 462,474,829.77

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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.