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Finding the Third Proportional to 135,819,196.50 and 294,606,585

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Solution

The third proportional to 135,819,196.50 and 294,606,585 is: 639,033,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,819,196.50 : 294,606,585 = 294,606,585 : x
  2. Step 2: Convert to fraction form
    135,819,196.50/294,606,585 = 294,606,585/x
  3. Step 3: Cross multiply
    135,819,196.50x = 294,606,585 × 294,606,585
  4. Step 4: Simplify right side
    135,819,196.50x = 86,793,039,925,362,224
  5. Step 5: Solve for x
    x = 86,793,039,925,362,224/135,819,196.50
  6. Step 6: Final answer
    x = 639,033,672.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.