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Finding the Third Proportional to 96,626,983.22 and 208,572,332.06

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Solution

The third proportional to 96,626,983.22 and 208,572,332.06 is: 450,209,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,626,983.22 : 208,572,332.06 = 208,572,332.06 : x
  2. Step 2: Convert to fraction form
    96,626,983.22/208,572,332.06 = 208,572,332.06/x
  3. Step 3: Cross multiply
    96,626,983.22x = 208,572,332.06 × 208,572,332.06
  4. Step 4: Simplify right side
    96,626,983.22x = 43,502,417,701,989,768
  5. Step 5: Solve for x
    x = 43,502,417,701,989,768/96,626,983.22
  6. Step 6: Final answer
    x = 450,209,830.14

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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.