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Finding the Third Proportional to 100,956,913.75 and 219,602,405

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Solution

The third proportional to 100,956,913.75 and 219,602,405 is: 477,681,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,956,913.75 : 219,602,405 = 219,602,405 : x
  2. Step 2: Convert to fraction form
    100,956,913.75/219,602,405 = 219,602,405/x
  3. Step 3: Cross multiply
    100,956,913.75x = 219,602,405 × 219,602,405
  4. Step 4: Simplify right side
    100,956,913.75x = 48,225,216,281,784,024
  5. Step 5: Solve for x
    x = 48,225,216,281,784,024/100,956,913.75
  6. Step 6: Final answer
    x = 477,681,166.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.