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Finding the Third Proportional to 209,144,700 and 459,565,056

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Solution

The third proportional to 209,144,700 and 459,565,056 is: 1,009,827,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,144,700 : 459,565,056 = 459,565,056 : x
  2. Step 2: Convert to fraction form
    209,144,700/459,565,056 = 459,565,056/x
  3. Step 3: Cross multiply
    209,144,700x = 459,565,056 × 459,565,056
  4. Step 4: Simplify right side
    209,144,700x = 211,200,040,696,283,136
  5. Step 5: Solve for x
    x = 211,200,040,696,283,136/209,144,700
  6. Step 6: Final answer
    x = 1,009,827,362.09

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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.