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Finding the Third Proportional to 290,276,937,207 and 454,362,688,048.50

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Solution

The third proportional to 290,276,937,207 and 454,362,688,048.50 is: 711,201,703,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,276,937,207 : 454,362,688,048.50 = 454,362,688,048.50 : x
  2. Step 2: Convert to fraction form
    290,276,937,207/454,362,688,048.50 = 454,362,688,048.50/x
  3. Step 3: Cross multiply
    290,276,937,207x = 454,362,688,048.50 × 454,362,688,048.50
  4. Step 4: Simplify right side
    290,276,937,207x = 206,445,452,290,658,521,841,664
  5. Step 5: Solve for x
    x = 206,445,452,290,658,521,841,664/290,276,937,207
  6. Step 6: Final answer
    x = 711,201,703,714.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.