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Finding the Third Proportional to 153,698,056.03 and 329,362,340.06

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Solution

The third proportional to 153,698,056.03 and 329,362,340.06 is: 705,796,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,698,056.03 : 329,362,340.06 = 329,362,340.06 : x
  2. Step 2: Convert to fraction form
    153,698,056.03/329,362,340.06 = 329,362,340.06/x
  3. Step 3: Cross multiply
    153,698,056.03x = 329,362,340.06 × 329,362,340.06
  4. Step 4: Simplify right side
    153,698,056.03x = 108,479,551,051,445,888
  5. Step 5: Solve for x
    x = 108,479,551,051,445,888/153,698,056.03
  6. Step 6: Final answer
    x = 705,796,506.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.