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Finding the Third Proportional to 238,196,066.44 and 515,963,582.63

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Solution

The third proportional to 238,196,066.44 and 515,963,582.63 is: 1,117,644,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,196,066.44 : 515,963,582.63 = 515,963,582.63 : x
  2. Step 2: Convert to fraction form
    238,196,066.44/515,963,582.63 = 515,963,582.63/x
  3. Step 3: Cross multiply
    238,196,066.44x = 515,963,582.63 × 515,963,582.63
  4. Step 4: Simplify right side
    238,196,066.44x = 266,218,418,595,225,216
  5. Step 5: Solve for x
    x = 266,218,418,595,225,216/238,196,066.44
  6. Step 6: Final answer
    x = 1,117,644,059.27

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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.