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Finding the Third Proportional to 165,627,463.50 and 348,388,897.50

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Solution

The third proportional to 165,627,463.50 and 348,388,897.50 is: 732,818,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,627,463.50 : 348,388,897.50 = 348,388,897.50 : x
  2. Step 2: Convert to fraction form
    165,627,463.50/348,388,897.50 = 348,388,897.50/x
  3. Step 3: Cross multiply
    165,627,463.50x = 348,388,897.50 × 348,388,897.50
  4. Step 4: Simplify right side
    165,627,463.50x = 121,374,823,901,265,504
  5. Step 5: Solve for x
    x = 121,374,823,901,265,504/165,627,463.50
  6. Step 6: Final answer
    x = 732,818,225.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.