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Finding the Third Proportional to 215,655,923.81 and 472,362,521.06

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Solution

The third proportional to 215,655,923.81 and 472,362,521.06 is: 1,034,640,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,655,923.81 : 472,362,521.06 = 472,362,521.06 : x
  2. Step 2: Convert to fraction form
    215,655,923.81/472,362,521.06 = 472,362,521.06/x
  3. Step 3: Cross multiply
    215,655,923.81x = 472,362,521.06 × 472,362,521.06
  4. Step 4: Simplify right side
    215,655,923.81x = 223,126,351,304,520,768
  5. Step 5: Solve for x
    x = 223,126,351,304,520,768/215,655,923.81
  6. Step 6: Final answer
    x = 1,034,640,492.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.