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Finding the Third Proportional to 211,041,828.56 and 465,019,448.63

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Solution

The third proportional to 211,041,828.56 and 465,019,448.63 is: 1,024,645,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,041,828.56 : 465,019,448.63 = 465,019,448.63 : x
  2. Step 2: Convert to fraction form
    211,041,828.56/465,019,448.63 = 465,019,448.63/x
  3. Step 3: Cross multiply
    211,041,828.56x = 465,019,448.63 × 465,019,448.63
  4. Step 4: Simplify right side
    211,041,828.56x = 216,243,087,599,499,008
  5. Step 5: Solve for x
    x = 216,243,087,599,499,008/211,041,828.56
  6. Step 6: Final answer
    x = 1,024,645,631.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.