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Finding the Third Proportional to 60,266,223,522 and 99,234,640,314

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Solution

The third proportional to 60,266,223,522 and 99,234,640,314 is: 163,400,214,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,266,223,522 : 99,234,640,314 = 99,234,640,314 : x
  2. Step 2: Convert to fraction form
    60,266,223,522/99,234,640,314 = 99,234,640,314/x
  3. Step 3: Cross multiply
    60,266,223,522x = 99,234,640,314 × 99,234,640,314
  4. Step 4: Simplify right side
    60,266,223,522x = 9,847,513,838,248,953,643,008
  5. Step 5: Solve for x
    x = 9,847,513,838,248,953,643,008/60,266,223,522
  6. Step 6: Final answer
    x = 163,400,214,295.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.