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Finding the Third Proportional to 97,835,070 and 213,249,048

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Solution

The third proportional to 97,835,070 and 213,249,048 is: 464,814,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,835,070 : 213,249,048 = 213,249,048 : x
  2. Step 2: Convert to fraction form
    97,835,070/213,249,048 = 213,249,048/x
  3. Step 3: Cross multiply
    97,835,070x = 213,249,048 × 213,249,048
  4. Step 4: Simplify right side
    97,835,070x = 45,475,156,472,906,304
  5. Step 5: Solve for x
    x = 45,475,156,472,906,304/97,835,070
  6. Step 6: Final answer
    x = 464,814,472.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.