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Finding the Third Proportional to 71,966,103 and 102,566,215

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Solution

The third proportional to 71,966,103 and 102,566,215 is: 146,177,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966,103 : 102,566,215 = 102,566,215 : x
  2. Step 2: Convert to fraction form
    71,966,103/102,566,215 = 102,566,215/x
  3. Step 3: Cross multiply
    71,966,103x = 102,566,215 × 102,566,215
  4. Step 4: Simplify right side
    71,966,103x = 10,519,828,459,426,224
  5. Step 5: Solve for x
    x = 10,519,828,459,426,224/71,966,103
  6. Step 6: Final answer
    x = 146,177,547.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.