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Finding the Third Proportional to 93,147,308,384 and 202,615,009,968

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Solution

The third proportional to 93,147,308,384 and 202,615,009,968 is: 440,730,311,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,147,308,384 : 202,615,009,968 = 202,615,009,968 : x
  2. Step 2: Convert to fraction form
    93,147,308,384/202,615,009,968 = 202,615,009,968/x
  3. Step 3: Cross multiply
    93,147,308,384x = 202,615,009,968 × 202,615,009,968
  4. Step 4: Simplify right side
    93,147,308,384x = 41,052,842,264,332,741,902,336
  5. Step 5: Solve for x
    x = 41,052,842,264,332,741,902,336/93,147,308,384
  6. Step 6: Final answer
    x = 440,730,311,766.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.