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Finding the Third Proportional to 218,819,595 and 346,495,288.50

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Solution

The third proportional to 218,819,595 and 346,495,288.50 is: 548,666,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,819,595 : 346,495,288.50 = 346,495,288.50 : x
  2. Step 2: Convert to fraction form
    218,819,595/346,495,288.50 = 346,495,288.50/x
  3. Step 3: Cross multiply
    218,819,595x = 346,495,288.50 × 346,495,288.50
  4. Step 4: Simplify right side
    218,819,595x = 120,058,984,952,698,240
  5. Step 5: Solve for x
    x = 120,058,984,952,698,240/218,819,595
  6. Step 6: Final answer
    x = 548,666,516.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.