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Finding the Third Proportional to 296,323,200 and 638,159,101

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Solution

The third proportional to 296,323,200 and 638,159,101 is: 1,374,333,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,323,200 : 638,159,101 = 638,159,101 : x
  2. Step 2: Convert to fraction form
    296,323,200/638,159,101 = 638,159,101/x
  3. Step 3: Cross multiply
    296,323,200x = 638,159,101 × 638,159,101
  4. Step 4: Simplify right side
    296,323,200x = 407,247,038,189,128,192
  5. Step 5: Solve for x
    x = 407,247,038,189,128,192/296,323,200
  6. Step 6: Final answer
    x = 1,374,333,964.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.