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Finding the Third Proportional to 101,538,184 and 154,688,028

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Solution

The third proportional to 101,538,184 and 154,688,028 is: 235,658,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538,184 : 154,688,028 = 154,688,028 : x
  2. Step 2: Convert to fraction form
    101,538,184/154,688,028 = 154,688,028/x
  3. Step 3: Cross multiply
    101,538,184x = 154,688,028 × 154,688,028
  4. Step 4: Simplify right side
    101,538,184x = 23,928,386,006,528,784
  5. Step 5: Solve for x
    x = 23,928,386,006,528,784/101,538,184
  6. Step 6: Final answer
    x = 235,658,991.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.