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Finding the Third Proportional to 96,966,018 and 209,044,260

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Solution

The third proportional to 96,966,018 and 209,044,260 is: 450,668,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,966,018 : 209,044,260 = 209,044,260 : x
  2. Step 2: Convert to fraction form
    96,966,018/209,044,260 = 209,044,260/x
  3. Step 3: Cross multiply
    96,966,018x = 209,044,260 × 209,044,260
  4. Step 4: Simplify right side
    96,966,018x = 43,699,502,638,947,600
  5. Step 5: Solve for x
    x = 43,699,502,638,947,600/96,966,018
  6. Step 6: Final answer
    x = 450,668,219.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.