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Finding the Third Proportional to 75,689,070 and 165,707,355

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Solution

The third proportional to 75,689,070 and 165,707,355 is: 362,785,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689,070 : 165,707,355 = 165,707,355 : x
  2. Step 2: Convert to fraction form
    75,689,070/165,707,355 = 165,707,355/x
  3. Step 3: Cross multiply
    75,689,070x = 165,707,355 × 165,707,355
  4. Step 4: Simplify right side
    75,689,070x = 27,458,927,501,096,024
  5. Step 5: Solve for x
    x = 27,458,927,501,096,024/75,689,070
  6. Step 6: Final answer
    x = 362,785,901.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.