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Finding the Third Proportional to 135,177,482.81 and 277,521,066

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Solution

The third proportional to 135,177,482.81 and 277,521,066 is: 569,754,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,177,482.81 : 277,521,066 = 277,521,066 : x
  2. Step 2: Convert to fraction form
    135,177,482.81/277,521,066 = 277,521,066/x
  3. Step 3: Cross multiply
    135,177,482.81x = 277,521,066 × 277,521,066
  4. Step 4: Simplify right side
    135,177,482.81x = 77,017,942,073,776,352
  5. Step 5: Solve for x
    x = 77,017,942,073,776,352/135,177,482.81
  6. Step 6: Final answer
    x = 569,754,225.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.