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Finding the Third Proportional to 97,194,944.50 and 212,542,056.50

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Solution

The third proportional to 97,194,944.50 and 212,542,056.50 is: 464,778,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,194,944.50 : 212,542,056.50 = 212,542,056.50 : x
  2. Step 2: Convert to fraction form
    97,194,944.50/212,542,056.50 = 212,542,056.50/x
  3. Step 3: Cross multiply
    97,194,944.50x = 212,542,056.50 × 212,542,056.50
  4. Step 4: Simplify right side
    97,194,944.50x = 45,174,125,781,249,192
  5. Step 5: Solve for x
    x = 45,174,125,781,249,192/97,194,944.50
  6. Step 6: Final answer
    x = 464,778,554.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.