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Finding the Third Proportional to 156,931,575 and 215,424,211

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Solution

The third proportional to 156,931,575 and 215,424,211 is: 295,718,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,931,575 : 215,424,211 = 215,424,211 : x
  2. Step 2: Convert to fraction form
    156,931,575/215,424,211 = 215,424,211/x
  3. Step 3: Cross multiply
    156,931,575x = 215,424,211 × 215,424,211
  4. Step 4: Simplify right side
    156,931,575x = 46,407,590,684,972,520
  5. Step 5: Solve for x
    x = 46,407,590,684,972,520/156,931,575
  6. Step 6: Final answer
    x = 295,718,632.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.