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Finding the Third Proportional to 133,068,822.79 and 291,223,013.98

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Solution

The third proportional to 133,068,822.79 and 291,223,013.98 is: 637,345,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,068,822.79 : 291,223,013.98 = 291,223,013.98 : x
  2. Step 2: Convert to fraction form
    133,068,822.79/291,223,013.98 = 291,223,013.98/x
  3. Step 3: Cross multiply
    133,068,822.79x = 291,223,013.98 × 291,223,013.98
  4. Step 4: Simplify right side
    133,068,822.79x = 84,810,843,869,597,488
  5. Step 5: Solve for x
    x = 84,810,843,869,597,488/133,068,822.79
  6. Step 6: Final answer
    x = 637,345,714.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.