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Finding the Third Proportional to 97,786,938.02 and 207,232,362.98

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Solution

The third proportional to 97,786,938.02 and 207,232,362.98 is: 439,171,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,938.02 : 207,232,362.98 = 207,232,362.98 : x
  2. Step 2: Convert to fraction form
    97,786,938.02/207,232,362.98 = 207,232,362.98/x
  3. Step 3: Cross multiply
    97,786,938.02x = 207,232,362.98 × 207,232,362.98
  4. Step 4: Simplify right side
    97,786,938.02x = 42,945,252,268,089,832
  5. Step 5: Solve for x
    x = 42,945,252,268,089,832/97,786,938.02
  6. Step 6: Final answer
    x = 439,171,663.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.