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Finding the Third Proportional to 84,898,477,467 and 181,723,173,318

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Solution

The third proportional to 84,898,477,467 and 181,723,173,318 is: 388,974,133,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,898,477,467 : 181,723,173,318 = 181,723,173,318 : x
  2. Step 2: Convert to fraction form
    84,898,477,467/181,723,173,318 = 181,723,173,318/x
  3. Step 3: Cross multiply
    84,898,477,467x = 181,723,173,318 × 181,723,173,318
  4. Step 4: Simplify right side
    84,898,477,467x = 33,023,311,720,763,866,742,784
  5. Step 5: Solve for x
    x = 33,023,311,720,763,866,742,784/84,898,477,467
  6. Step 6: Final answer
    x = 388,974,133,648.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.