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Finding the Third Proportional to 97,114,776 and 208,003,056

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Solution

The third proportional to 97,114,776 and 208,003,056 is: 445,506,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,114,776 : 208,003,056 = 208,003,056 : x
  2. Step 2: Convert to fraction form
    97,114,776/208,003,056 = 208,003,056/x
  3. Step 3: Cross multiply
    97,114,776x = 208,003,056 × 208,003,056
  4. Step 4: Simplify right side
    97,114,776x = 43,265,271,305,339,136
  5. Step 5: Solve for x
    x = 43,265,271,305,339,136/97,114,776
  6. Step 6: Final answer
    x = 445,506,575.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.