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Finding the Third Proportional to 74,602,965 and 160,543,342.50

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Solution

The third proportional to 74,602,965 and 160,543,342.50 is: 345,484,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602,965 : 160,543,342.50 = 160,543,342.50 : x
  2. Step 2: Convert to fraction form
    74,602,965/160,543,342.50 = 160,543,342.50/x
  3. Step 3: Cross multiply
    74,602,965x = 160,543,342.50 × 160,543,342.50
  4. Step 4: Simplify right side
    74,602,965x = 25,774,164,821,072,308
  5. Step 5: Solve for x
    x = 25,774,164,821,072,308/74,602,965
  6. Step 6: Final answer
    x = 345,484,456.56

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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.