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Finding the Third Proportional to 137,909,725.88 and 205,668,662.63

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Solution

The third proportional to 137,909,725.88 and 205,668,662.63 is: 306,719,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,909,725.88 : 205,668,662.63 = 205,668,662.63 : x
  2. Step 2: Convert to fraction form
    137,909,725.88/205,668,662.63 = 205,668,662.63/x
  3. Step 3: Cross multiply
    137,909,725.88x = 205,668,662.63 × 205,668,662.63
  4. Step 4: Simplify right side
    137,909,725.88x = 42,299,598,785,956,072
  5. Step 5: Solve for x
    x = 42,299,598,785,956,072/137,909,725.88
  6. Step 6: Final answer
    x = 306,719,475.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.