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Finding the Third Proportional to 208,056,582 and 306,051,945

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Solution

The third proportional to 208,056,582 and 306,051,945 is: 450,203,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056,582 : 306,051,945 = 306,051,945 : x
  2. Step 2: Convert to fraction form
    208,056,582/306,051,945 = 306,051,945/x
  3. Step 3: Cross multiply
    208,056,582x = 306,051,945 × 306,051,945
  4. Step 4: Simplify right side
    208,056,582x = 93,667,793,038,283,024
  5. Step 5: Solve for x
    x = 93,667,793,038,283,024/208,056,582
  6. Step 6: Final answer
    x = 450,203,459.74

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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.