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Finding the Third Proportional to 75,710,503.50 and 164,707,032

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Solution

The third proportional to 75,710,503.50 and 164,707,032 is: 358,317,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,710,503.50 : 164,707,032 = 164,707,032 : x
  2. Step 2: Convert to fraction form
    75,710,503.50/164,707,032 = 164,707,032/x
  3. Step 3: Cross multiply
    75,710,503.50x = 164,707,032 × 164,707,032
  4. Step 4: Simplify right side
    75,710,503.50x = 27,128,406,390,249,024
  5. Step 5: Solve for x
    x = 27,128,406,390,249,024/75,710,503.50
  6. Step 6: Final answer
    x = 358,317,606.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.