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Finding the Third Proportional to 127,602,823.50 and 197,965,478.25

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Solution

The third proportional to 127,602,823.50 and 197,965,478.25 is: 307,127,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,602,823.50 : 197,965,478.25 = 197,965,478.25 : x
  2. Step 2: Convert to fraction form
    127,602,823.50/197,965,478.25 = 197,965,478.25/x
  3. Step 3: Cross multiply
    127,602,823.50x = 197,965,478.25 × 197,965,478.25
  4. Step 4: Simplify right side
    127,602,823.50x = 39,190,330,578,751,224
  5. Step 5: Solve for x
    x = 39,190,330,578,751,224/127,602,823.50
  6. Step 6: Final answer
    x = 307,127,456.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.