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Finding the Third Proportional to 103,598,585,347.08 and 225,439,598,160.08

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Solution

The third proportional to 103,598,585,347.08 and 225,439,598,160.08 is: 490,576,316,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,598,585,347.08 : 225,439,598,160.08 = 225,439,598,160.08 : x
  2. Step 2: Convert to fraction form
    103,598,585,347.08/225,439,598,160.08 = 225,439,598,160.08/x
  3. Step 3: Cross multiply
    103,598,585,347.08x = 225,439,598,160.08 × 225,439,598,160.08
  4. Step 4: Simplify right side
    103,598,585,347.08x = 50,823,012,418,578,343,264,256
  5. Step 5: Solve for x
    x = 50,823,012,418,578,343,264,256/103,598,585,347.08
  6. Step 6: Final answer
    x = 490,576,316,735.50

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