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Finding the Third Proportional to 114,681,191,700 and 159,455,030,259

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Solution

The third proportional to 114,681,191,700 and 159,455,030,259 is: 221,709,473,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,681,191,700 : 159,455,030,259 = 159,455,030,259 : x
  2. Step 2: Convert to fraction form
    114,681,191,700/159,455,030,259 = 159,455,030,259/x
  3. Step 3: Cross multiply
    114,681,191,700x = 159,455,030,259 × 159,455,030,259
  4. Step 4: Simplify right side
    114,681,191,700x = 25,425,906,674,898,604,916,736
  5. Step 5: Solve for x
    x = 25,425,906,674,898,604,916,736/114,681,191,700
  6. Step 6: Final answer
    x = 221,709,473,872.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.