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Finding the Third Proportional to 98,930,068.88 and 145,516,267.13

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Solution

The third proportional to 98,930,068.88 and 145,516,267.13 is: 214,039,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,930,068.88 : 145,516,267.13 = 145,516,267.13 : x
  2. Step 2: Convert to fraction form
    98,930,068.88/145,516,267.13 = 145,516,267.13/x
  3. Step 3: Cross multiply
    98,930,068.88x = 145,516,267.13 × 145,516,267.13
  4. Step 4: Simplify right side
    98,930,068.88x = 21,174,983,997,994,356
  5. Step 5: Solve for x
    x = 21,174,983,997,994,356/98,930,068.88
  6. Step 6: Final answer
    x = 214,039,919.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.