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Finding the Third Proportional to 208,357,376 and 306,513,024

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Solution

The third proportional to 208,357,376 and 306,513,024 is: 450,909,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,357,376 : 306,513,024 = 306,513,024 : x
  2. Step 2: Convert to fraction form
    208,357,376/306,513,024 = 306,513,024/x
  3. Step 3: Cross multiply
    208,357,376x = 306,513,024 × 306,513,024
  4. Step 4: Simplify right side
    208,357,376x = 93,950,233,881,624,576
  5. Step 5: Solve for x
    x = 93,950,233,881,624,576/208,357,376
  6. Step 6: Final answer
    x = 450,909,085.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.