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Finding the Third Proportional to 43,671,984 and 93,478,663.50

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Solution

The third proportional to 43,671,984 and 93,478,663.50 is: 200,088,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,671,984 : 93,478,663.50 = 93,478,663.50 : x
  2. Step 2: Convert to fraction form
    43,671,984/93,478,663.50 = 93,478,663.50/x
  3. Step 3: Cross multiply
    43,671,984x = 93,478,663.50 × 93,478,663.50
  4. Step 4: Simplify right side
    43,671,984x = 8,738,260,529,746,232
  5. Step 5: Solve for x
    x = 8,738,260,529,746,232/43,671,984
  6. Step 6: Final answer
    x = 200,088,471.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.