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Finding the Third Proportional to 93,147,128,686 and 202,614,598,208

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Solution

The third proportional to 93,147,128,686 and 202,614,598,208 is: 440,729,370,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,147,128,686 : 202,614,598,208 = 202,614,598,208 : x
  2. Step 2: Convert to fraction form
    93,147,128,686/202,614,598,208 = 202,614,598,208/x
  3. Step 3: Cross multiply
    93,147,128,686x = 202,614,598,208 × 202,614,598,208
  4. Step 4: Simplify right side
    93,147,128,686x = 41,052,675,406,989,275,168,768
  5. Step 5: Solve for x
    x = 41,052,675,406,989,275,168,768/93,147,128,686
  6. Step 6: Final answer
    x = 440,729,370,686.01

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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.