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Finding the Third Proportional to 85,184,695 and 139,084,210.50

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Solution

The third proportional to 85,184,695 and 139,084,210.50 is: 227,087,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,184,695 : 139,084,210.50 = 139,084,210.50 : x
  2. Step 2: Convert to fraction form
    85,184,695/139,084,210.50 = 139,084,210.50/x
  3. Step 3: Cross multiply
    85,184,695x = 139,084,210.50 × 139,084,210.50
  4. Step 4: Simplify right side
    85,184,695x = 19,344,417,610,408,312
  5. Step 5: Solve for x
    x = 19,344,417,610,408,312/85,184,695
  6. Step 6: Final answer
    x = 227,087,948.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.