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Finding the Third Proportional to 216,442,926 and 463,532,220

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Solution

The third proportional to 216,442,926 and 463,532,220 is: 992,696,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,442,926 : 463,532,220 = 463,532,220 : x
  2. Step 2: Convert to fraction form
    216,442,926/463,532,220 = 463,532,220/x
  3. Step 3: Cross multiply
    216,442,926x = 463,532,220 × 463,532,220
  4. Step 4: Simplify right side
    216,442,926x = 214,862,118,978,128,384
  5. Step 5: Solve for x
    x = 214,862,118,978,128,384/216,442,926
  6. Step 6: Final answer
    x = 992,696,425.56

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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.