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Finding the Third Proportional to 97,031,909 and 210,435,570

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Solution

The third proportional to 97,031,909 and 210,435,570 is: 456,376,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,031,909 : 210,435,570 = 210,435,570 : x
  2. Step 2: Convert to fraction form
    97,031,909/210,435,570 = 210,435,570/x
  3. Step 3: Cross multiply
    97,031,909x = 210,435,570 × 210,435,570
  4. Step 4: Simplify right side
    97,031,909x = 44,283,129,121,224,896
  5. Step 5: Solve for x
    x = 44,283,129,121,224,896/97,031,909
  6. Step 6: Final answer
    x = 456,376,975.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.