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Finding the Third Proportional to 106,083,076 and 227,666,528

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Solution

The third proportional to 106,083,076 and 227,666,528 is: 488,598,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,083,076 : 227,666,528 = 227,666,528 : x
  2. Step 2: Convert to fraction form
    106,083,076/227,666,528 = 227,666,528/x
  3. Step 3: Cross multiply
    106,083,076x = 227,666,528 × 227,666,528
  4. Step 4: Simplify right side
    106,083,076x = 51,832,047,971,574,784
  5. Step 5: Solve for x
    x = 51,832,047,971,574,784/106,083,076
  6. Step 6: Final answer
    x = 488,598,652.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.