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Finding the Third Proportional to 119,698,203 and 257,861,521.50

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Solution

The third proportional to 119,698,203 and 257,861,521.50 is: 555,501,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,698,203 : 257,861,521.50 = 257,861,521.50 : x
  2. Step 2: Convert to fraction form
    119,698,203/257,861,521.50 = 257,861,521.50/x
  3. Step 3: Cross multiply
    119,698,203x = 257,861,521.50 × 257,861,521.50
  4. Step 4: Simplify right side
    119,698,203x = 66,492,564,270,294,960
  5. Step 5: Solve for x
    x = 66,492,564,270,294,960/119,698,203
  6. Step 6: Final answer
    x = 555,501,775.33

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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.