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Finding the Third Proportional to 181,950,490 and 260,191,346

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Solution

The third proportional to 181,950,490 and 260,191,346 is: 372,076,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,950,490 : 260,191,346 = 260,191,346 : x
  2. Step 2: Convert to fraction form
    181,950,490/260,191,346 = 260,191,346/x
  3. Step 3: Cross multiply
    181,950,490x = 260,191,346 × 260,191,346
  4. Step 4: Simplify right side
    181,950,490x = 67,699,536,533,291,712
  5. Step 5: Solve for x
    x = 67,699,536,533,291,712/181,950,490
  6. Step 6: Final answer
    x = 372,076,692.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.