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Finding the Third Proportional to 97,397,690.63 and 214,274,580.19

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Solution

The third proportional to 97,397,690.63 and 214,274,580.19 is: 471,403,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,397,690.63 : 214,274,580.19 = 214,274,580.19 : x
  2. Step 2: Convert to fraction form
    97,397,690.63/214,274,580.19 = 214,274,580.19/x
  3. Step 3: Cross multiply
    97,397,690.63x = 214,274,580.19 × 214,274,580.19
  4. Step 4: Simplify right side
    97,397,690.63x = 45,913,595,714,529,368
  5. Step 5: Solve for x
    x = 45,913,595,714,529,368/97,397,690.63
  6. Step 6: Final answer
    x = 471,403,330.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.