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Finding the Third Proportional to 113,870,596,972 and 237,166,193,624

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Solution

The third proportional to 113,870,596,972 and 237,166,193,624 is: 493,962,488,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,870,596,972 : 237,166,193,624 = 237,166,193,624 : x
  2. Step 2: Convert to fraction form
    113,870,596,972/237,166,193,624 = 237,166,193,624/x
  3. Step 3: Cross multiply
    113,870,596,972x = 237,166,193,624 × 237,166,193,624
  4. Step 4: Simplify right side
    113,870,596,972x = 56,247,803,398,096,657,842,176
  5. Step 5: Solve for x
    x = 56,247,803,398,096,657,842,176/113,870,596,972
  6. Step 6: Final answer
    x = 493,962,488,068.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.