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Finding the Third Proportional to 211,584,784.50 and 448,770,685.50

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Solution

The third proportional to 211,584,784.50 and 448,770,685.50 is: 951,841,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,584,784.50 : 448,770,685.50 = 448,770,685.50 : x
  2. Step 2: Convert to fraction form
    211,584,784.50/448,770,685.50 = 448,770,685.50/x
  3. Step 3: Cross multiply
    211,584,784.50x = 448,770,685.50 × 448,770,685.50
  4. Step 4: Simplify right side
    211,584,784.50x = 201,395,128,164,139,904
  5. Step 5: Solve for x
    x = 201,395,128,164,139,904/211,584,784.50
  6. Step 6: Final answer
    x = 951,841,261.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.