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Finding the Third Proportional to 97,473,971 and 214,077,023

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Solution

The third proportional to 97,473,971 and 214,077,023 is: 470,166,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473,971 : 214,077,023 = 214,077,023 : x
  2. Step 2: Convert to fraction form
    97,473,971/214,077,023 = 214,077,023/x
  3. Step 3: Cross multiply
    97,473,971x = 214,077,023 × 214,077,023
  4. Step 4: Simplify right side
    97,473,971x = 45,828,971,776,542,528
  5. Step 5: Solve for x
    x = 45,828,971,776,542,528/97,473,971
  6. Step 6: Final answer
    x = 470,166,253.68

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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.