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Finding the Third Proportional to 73,656,637.50 and 102,413,692.50

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Solution

The third proportional to 73,656,637.50 and 102,413,692.50 is: 142,398,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,656,637.50 : 102,413,692.50 = 102,413,692.50 : x
  2. Step 2: Convert to fraction form
    73,656,637.50/102,413,692.50 = 102,413,692.50/x
  3. Step 3: Cross multiply
    73,656,637.50x = 102,413,692.50 × 102,413,692.50
  4. Step 4: Simplify right side
    73,656,637.50x = 10,488,564,411,484,556
  5. Step 5: Solve for x
    x = 10,488,564,411,484,556/73,656,637.50
  6. Step 6: Final answer
    x = 142,398,088.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.