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Finding the Third Proportional to 97,031,911 and 210,435,574

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Solution

The third proportional to 97,031,911 and 210,435,574 is: 456,376,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,031,911 : 210,435,574 = 210,435,574 : x
  2. Step 2: Convert to fraction form
    97,031,911/210,435,574 = 210,435,574/x
  3. Step 3: Cross multiply
    97,031,911x = 210,435,574 × 210,435,574
  4. Step 4: Simplify right side
    97,031,911x = 44,283,130,804,709,472
  5. Step 5: Solve for x
    x = 44,283,130,804,709,472/97,031,911
  6. Step 6: Final answer
    x = 456,376,983.08

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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.