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Finding the Third Proportional to 97,478,840 and 214,090,654

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Solution

The third proportional to 97,478,840 and 214,090,654 is: 470,202,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,478,840 : 214,090,654 = 214,090,654 : x
  2. Step 2: Convert to fraction form
    97,478,840/214,090,654 = 214,090,654/x
  3. Step 3: Cross multiply
    97,478,840x = 214,090,654 × 214,090,654
  4. Step 4: Simplify right side
    97,478,840x = 45,834,808,130,147,712
  5. Step 5: Solve for x
    x = 45,834,808,130,147,712/97,478,840
  6. Step 6: Final answer
    x = 470,202,642.24

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Why These Related Problems?

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